Of the 47 plays attributed to a playwright,16 are comedians,19 are tragedies,12 are histories. If one play is selected at random, find the odds In favor of selecting a tragedy
To find the odds in favor of selecting a tragedy, we need to calculate the probability of selecting a tragedy and the probability of not selecting a tragedy.
The probability of selecting a tragedy is (19 tragedies) / (47 total plays) = 19/47 ≈ 0.404
The probability of not selecting a tragedy is (47 total plays - 19 tragedies) / (47 total plays) = 28/47 ≈ 0.596
The odds in favor of selecting a tragedy are the probability of selecting a tragedy divided by the probability of not selecting a tragedy:
Odds in favor of selecting a tragedy = (probability of selecting a tragedy) / (probability of not selecting a tragedy)
= (19/47) / (28/47)
= 19/28 ≈ 0.679
Therefore, the odds in favor of selecting a tragedy are approximately 0.679.